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Measure theory question

  1. Aug 20, 2007 #1
    if m(.) is a non-atomic measure on the Borel sigma-algebra B(I).
    I is some fixed closed finite interval in R.

    How to show that f satisfies the following:

    m(S) = L(f(S)), S in B(I) where L is the Lebesgue measure and
    f(x) = m( I intersect(-infinity,x] )
     
  2. jcsd
  3. Aug 20, 2007 #2

    EnumaElish

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    You might get a reply if you use the standard homework template.
     
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